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105124330641 = 3112539353699
BaseRepresentation
bin110000111100111100…
…1011111110010010001
3101001100021222022101110
41201321321133302101
53210243312040031
6120143215123533
710411036031661
oct1417171376221
9331307868343
10105124330641
1140645a42600
1218459b135a9
139bb4350455
1451338481a1
152b0404ec46
hex1879e5fc91

105124330641 has 24 divisors (see below), whose sum is σ = 154097949600. Its totient is φ = 63698715520.

The previous prime is 105124330639. The next prime is 105124330673. The reversal of 105124330641 is 146033421501.

It is not a de Polignac number, because 105124330641 - 21 = 105124330639 is a prime.

It is a super-2 number, since 2×1051243306412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105124330599 and 105124330608.

It is not an unprimeable number, because it can be changed into a prime (105124330691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930810 + ... + 1984508.

It is an arithmetic number, because the mean of its divisors is an integer number (6420747900).

Almost surely, 2105124330641 is an apocalyptic number.

105124330641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105124330641 is a deficient number, since it is larger than the sum of its proper divisors (48973618959).

105124330641 is a wasteful number, since it uses less digits than its factorization.

105124330641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59117 (or 59106 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 105124330641 in words is "one hundred five billion, one hundred twenty-four million, three hundred thirty thousand, six hundred forty-one".

Divisors: 1 3 11 33 121 363 5393 16179 53699 59323 161097 177969 590689 652553 1772067 1957659 6497579 19492737 289598707 868796121 3185585777 9556757331 35041443547 105124330641